# Find four rational number between 1/5 and 1/4?

3
by anniteshsu

2014-08-03T22:13:28+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
1/5    and 1/4
1/4 =  5  / 20  = 25 /100  nultiply by 5 in numerator & denominator
1/5  = 4 / 20  = 20 / 100  multiply by 5  in Nr  and Dr
So now we want rational numbers between  20 /100  and 25 /100
They are easily
21        22        23      24
---- ,    ----    ,    ----,     ----
100      100      100     100
2014-08-04T02:25:38+05:30

2014-08-04T18:39:06+05:30
To find out the rational nos. between them we have to find it's Average of these 2 nos.-1/5+1/4= 4+5 = 9
2        20    40
2
1/5,9/20,1/4
Now to find the other nos. we have to find the average of 1/5 and 9/20
the LCM of 5 and 20 is 20= 5+13 =18/40
20
2
1/518/40,9/20,1/4
Now to find the other nos. we have to find the average of 9/20 and 1/4
the LCM of 40 and 20 is 40=18+18 =36/80
40
2
1/5,18/40,9/20,36/80,1/4
Now to find the other nos. we have to find the average of 9/20 and 36/80
the LCM of 20 and 80 is 80=360+36=420/160=21/8
80
2
Now to find the other nos. we have to find the average of 9/20 and 18/40
the LCM of 40 and 20 is 40=18+18 =36/80
40
2
Therefore thefour rational nos. are-1/5,18/40,9/20,36/80,36/80,1/4 which can be simplified...